Patterns and localized structures in population dynamics

M. G. Clerc*, D. Escaff, V. M. Kenkre

*Autor correspondiente de este trabajo

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

81 Citas (Scopus)

Resumen

Patterns, fronts, and localized structures of a prototypical model for population dynamics interaction are studied. The physical content of the model is the coexistence of a simple random walk for the motion of the individuals with a nonlinearity in the competitive struggle for resources which simultaneously stresses the Allee effect and interaction at a distance. Mathematically, the model is variational and exhibits coexistence between different stable extended states. Solutions are obtained, the phase diagram is constructed, and the emergence of localized structures is investigated.
Idioma originalInglés
Número de artículo056217
PublicaciónPhysical Review E
Volumen72
N.º5
DOI
EstadoPublicada - nov. 2005
Publicado de forma externa

Nota bibliográfica

© 2005 The American Physical Society.

Palabras clave

  • Biophysics
  • Fourier Analysis
  • Models
  • Statistical
  • Theoretical
  • Oscillometry
  • Population
  • Dynamics
  • Software

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